हिंदी

The area of the triangle formed by the lines joining the vertex of the parabola x2 = 12y to the ends of its latus rectum is ______. - Mathematics

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प्रश्न

The area of the triangle formed by the lines joining the vertex of the parabola x2 = 12y to the ends of its latus rectum is ______.

विकल्प

  • 12 sq.units

  • 16 sq.units

  • 18 sq.units

  • 24 sq.units

MCQ
रिक्त स्थान भरें

उत्तर

The area of the triangle formed by the lines joining the vertex of the parabola x2 = 12y to the ends of its latus rectum is 18 sq.units.

Explanation:


From the figure

OPQ represent the triangle whose area is to be determined.

The area of the triangle = `1/2 "PQ" xx "OF"`

= `1/2(12 xx 3)` = 18

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अध्याय 11: Conic Sections - Solved Examples [पृष्ठ १९७]

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एनसीईआरटी एक्झांप्लर Mathematics [English] Class 11
अध्याय 11 Conic Sections
Solved Examples | Q 13 | पृष्ठ १९७

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